Pith Number

pith:4S7ZVERF

pith:2012:4S7ZVERFBYP6DBZTXVGTEB4FHH

not attested not anchored not stored refs pending

Exact expressions for the intercepts of r-particle momentum correlation functions in \mu-Bose gas model

A.M. Gavrilik, Yu.A. Mishchenko

arxiv:1204.3067 v2 · 2012-04-13 · math-ph · cond-mat.stat-mech · hep-th · math.MP · quant-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4S7ZVERFBYP6DBZTXVGTEB4FHH}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T03:40:14.203515Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4bf9a92250e1fe18733bd4d32078539f86d0e56ef0de78a97bcbd704d6373c7

Aliases

arxiv: 1204.3067 · arxiv_version: 1204.3067v2 · doi: 10.48550/arxiv.1204.3067 · pith_short_12: 4S7ZVERFBYP6 · pith_short_16: 4S7ZVERFBYP6DBZT · pith_short_8: 4S7ZVERF

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/4S7ZVERFBYP6DBZTXVGTEB4FHH \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: e4bf9a92250e1fe18733bd4d32078539f86d0e56ef0de78a97bcbd704d6373c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "848ae29c9952c77d82bd5754891b10ed4ea2c05fab35faaa4a01e62d57c04403",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "hep-th",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-04-13T18:23:07Z",
    "title_canon_sha256": "96952acb9050a26401cc897715cffb57cb4a2d7171a665ce8b03cfb68ac43bfc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.3067",
    "kind": "arxiv",
    "version": 2
  }
}